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\section*{Nomenclature}

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$\Omega$ \> Simulation domain \\
$\Omega_s$ \> Reference element domain \\
$\Gamma$ \> Element mapping: physical to reference domain \\
$\lambda$ \> Viscosity of medium \\
$\eta^e$ \> Bassi Rebay weighting constant \\

$c$ \> Correction function parameter \\
$f, \hat{f}^{\delta} $ \> Inviscid flux, untransformed and transformed \\
%$\hat{f}^{\delta D}$\hat{f}^{\delta I}, \hat{f}^{\delta C} $ \> Inviscid flux, discontinuous, interface, correction \\

$f_v, \hat{f_v}^{\delta} $ \> Viscous flux, untransformed and transformed \\
%$\hat{f_v}^{\delta D}, \hat{f_v}^{\delta I}, \hat{f_v}^{\delta C} $ \> Viscous flux, discontinuous, interface, correction \\

$g, g_L, g_R$ \> Correction functions, generic, left and right interfaces \\

$J$ \> Element jacobian \\

$k$ \> Degree of discontinuous solution basis \\
$L_k$ \> Legendre polynomial degree k \\
$l_k$ \> Lagrange polynomial degree k \\

$r$ \> Coordinate in reference domain \\
$r_e$ \> Bassi Rebay lifting operator \\
$t$ \> Time based on simulation units \\
$u, \hat{u}^{\delta} $ \> Solution, untransformed and transformed \\
%$\hat{u}^{\delta D}, \hat{u}^{\delta I}, \hat{u}^{\delta C} $ \> Solution flux, discontinuous, interface, correction \\
$x$ \> Coordinate in physical domain \\

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